Question

On the interval , at which x-value is the average rate of change 56?.

Answer 1

On the interval {x, 7} , the x-value at which the average rate of change is 56, is 4 and 7.

How to read the data from the table?

Table is a way to represent the data of the two or more variable.

To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.

The table of the given x value is,

x          3,     4,     5,     6,     7

f(x)      12,   24,   28,   96,   192

The average rate of change of value is the ratio of overall change of function output value to the input value.

For the input values of 4 and 7 let's find the average rate of change,

$r=\dfrac{192-24}{7-4}\\r=\dfrac{168}{3}\\r=56$

Hence, on the interval {x, 7} , the x-value at which the average rate of change is 56, is 4 and 7.

Learn more about the data table here;

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Answer 2

Answer:

4

x-value is the average rate of change 56